%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD034-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:49:07 AM UTC 2026
% Result : Unsatisfiable 2.62s 1.12s
% Output : Refutation 2.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 12 ( 5 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 29 ( 16 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0] :
( equalish(multiply(multiplicative_identity,X0),X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ equalish(X2,X1)
| ~ equalish(X0,X2)
| equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_equality) ).
fof(f25,axiom,
! [X2,X0,X1] :
( equalish(multiply(X0,X1),multiply(X2,X1))
| ~ defined(X1)
| ~ equalish(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_equality_and_multiplication) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f30,negated_conjecture,
equalish(m,multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_equals_multiplicative_identity_3) ).
fof(f31,negated_conjecture,
~ equalish(multiply(m,a),a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_not_equal_to_a_4) ).
fof(f47,plain,
! [X0,X1] :
( ~ equalish(X0,multiply(multiplicative_identity,X1))
| equalish(X0,X1)
| ~ defined(X1) ),
inference(resolution,[],[f23,f6]) ).
fof(f148,plain,
! [X0,X1] :
( equalish(multiply(X0,X1),X1)
| ~ defined(X1)
| ~ defined(X1)
| ~ equalish(X0,multiplicative_identity) ),
inference(resolution,[],[f47,f25]) ).
fof(f151,plain,
! [X0,X1] :
( equalish(multiply(X0,X1),X1)
| ~ defined(X1)
| ~ equalish(X0,multiplicative_identity) ),
inference(duplicate_literal_removal,[],[f148]) ).
fof(f1115,plain,
( ~ defined(a)
| ~ equalish(m,multiplicative_identity) ),
inference(resolution,[],[f151,f31]) ).
fof(f1138,plain,
~ equalish(m,multiplicative_identity),
inference(forward_subsumption_resolution,[],[f1115,f28]) ).
fof(f1139,plain,
$false,
inference(forward_subsumption_resolution,[],[f1138,f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD034-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n010.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Sep 29 00:32:18 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running first-order theorem proving
% 0.09/0.20 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.62/1.12 % (2516480)Input is clausal, will run a generic CNF schedule.
% 2.62/1.12 % (2516488)lrs+10_1_sil=8000:sp=occurrence:random_seed=4294791710:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.62/1.12 % (2516488)First to succeed.
% 2.62/1.12 % (2516488)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2516480"
% 2.62/1.12 % (2516487)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2184883995:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.62/1.12 % (2516486)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3391676721:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.62/1.12 % (2516491)dis-21_1_sil=8000:lcm=predicate:random_seed=844218045:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.62/1.12 % (2516485)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2888806788:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.62/1.12 % (2516490)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=94697286:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.62/1.12 % (2516490)Also succeeded, but the first one will report.
% 2.62/1.12 % (2516489)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=32541543:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.62/1.12 % (2516489)Also succeeded, but the first one will report.
% 2.62/1.12 % (2516491)Also succeeded, but the first one will report.
% 2.62/1.12 % (2516488)Refutation found. Thanks to Tanya!
% 2.62/1.12 % SZS status Unsatisfiable for theBenchmark
% 2.62/1.12 % SZS output start Proof for theBenchmark
% See solution above
% 2.62/1.12 % (2516488)------------------------------
% 2.62/1.12 % (2516488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/1.12 % (2516488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/1.12 % (2516488)CaDiCaL version: 2.1.3
% 2.62/1.12 % (2516488)Termination reason: Refutation
% 2.62/1.12 % (2516488)Time elapsed: 0.013 s
% 2.62/1.12 % (2516488)Peak memory usage: 89 MB
% 2.62/1.12 % (2516488)Instructions burned: 31 (million)
% 2.62/1.12 % (2516488)------------------------------
% 2.62/1.12 % (2516488)------------------------------
% 2.62/1.12 % (2516480)Success in time 0.289 s
% 2.62/1.12 % Vampire exiting
%------------------------------------------------------------------------------